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Finding the Fourth Proportional to 56,152.70, 84,156.21 and 22,833.98

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Solution

The fourth proportional to 56,152.70, 84,156.21 and 22,833.98 is: 34,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,152.70 : 84,156.21 = 22,833.98 : x
  2. Step 2: Convert to fraction form
    56,152.70/84,156.21 = 22,833.98/x
  3. Step 3: Cross multiply
    56,152.70x = 84,156.21 × 22,833.98
  4. Step 4: Simplify right side
    56,152.70x = 1,921,621,216.02
  5. Step 5: Solve for x
    x = 1,921,621,216.02/56,152.70
  6. Step 6: Final answer
    x = 34,221.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.